Details

sample2.7s (69.5%)

Algorithm
6×intervals
Results
568.0ms7619×body1280valid
330.0ms2895×body2560valid
251.0ms4312×body640valid
133.0ms10176×body80valid
68.0ms1800×body320valid
22.0ms805×body160valid

simplify446.0ms (11.3%)

Algorithm
11×egg-herbie

series337.0ms (8.5%)

Calls

7 calls:

66.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)
57.0ms
(fma x 2.0 (pow x 2))
55.0ms
(fma x 2.0 (pow x 2))
54.0ms
(fma x 2.0 (pow x 2))
53.0ms
(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

prune283.0ms (7.1%)

rewrite78.0ms (2.0%)

Algorithm
5×rewrite-expression-head
Calls

7 calls:

32.0ms
(* (+ x 1.0) (+ x 1.0))
22.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)
15.0ms
(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))
1.0ms
(sqrt (fma x 2.0 (pow x 2)))
0.0ms
(fma x 2.0 (pow x 2))
Rules
37×add-sqr-sqrt
35×*-un-lft-identity
30×pow1
21×sqrt-prod add-cube-cbrt
14×swap-sqr
11×add-exp-log add-cbrt-cube
10×associate-*r* associate-*l*
9×pow1/2 add-log-exp sqrt-pow1
7×log1p-expm1-u expm1-log1p-u
6×distribute-lft-out pow-prod-up flip3-+ flip-+
5×unswap-sqr
4×pow-prod-down pow-sqr frac-times
3×prod-diff fma-udef
2×*-commutative associate-*r/ distribute-rgt-in associate-*l/ associate--l+ pow-plus pow2 cbrt-unprod distribute-lft-in prod-exp
1×flip-- fma-neg sqrt-unprod rem-square-sqrt diff-log difference-of-squares rem-sqrt-square flip3-- sub-neg

localize48.0ms (1.2%)

regimes12.0ms (0.3%)

Accuracy

Total 0.0b remaining (44.7%)

Threshold costs 0.0b (44.7%)

0.0b0%Expanding a square

bsearch0.0ms (0.0%)

end0.0ms (0.0%)